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Cramer-Rao bounds for synchronization of rotations

Cramer-Rao bounds for synchronization of rotations

Synchronization of rotations is the problem of estimating a set of rotations Ri ∈ SO(n), i=1⋯ N, based on noisy measurements of relative rotations RiRj⊤. This fundamental problem has found many recent applications, most importantly in structural biology. We provide a framework to study synchronization as estimation on Riemannian manifolds …